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Finding the Fourth Proportional to 2,539.96, 3,505.13 and 1,420.90

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Solution

The fourth proportional to 2,539.96, 3,505.13 and 1,420.90 is: 1,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.96 : 3,505.13 = 1,420.90 : x
  2. Step 2: Convert to fraction form
    2,539.96/3,505.13 = 1,420.90/x
  3. Step 3: Cross multiply
    2,539.96x = 3,505.13 × 1,420.90
  4. Step 4: Simplify right side
    2,539.96x = 4,980,432.11
  5. Step 5: Solve for x
    x = 4,980,432.11/2,539.96
  6. Step 6: Final answer
    x = 1,960.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.